II1 FACTORS WITH EXOTIC CENTRAL SEQUENCE ALGEBRAS

Author:

Ioana AdrianORCID,Spaas Pieter

Abstract

AbstractWe provide a class of separable II1 factors $M$ whose central sequence algebra is not the ‘tail’ algebra associated with any decreasing sequence of von Neumann subalgebras of $M$. This settles a question of McDuff [On residual sequences in a II1 factor, J. Lond. Math. Soc. (2) (1971), 273–280].

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference49 articles.

1. On the theories of McDuff’s II1 factors;Goldbring;Int. Math. Res. Not. IMRN,2017

2. On the superrigidity of malleable actions with spectral gap

3. One-cohomology and the uniqueness of the group measure space decomposition of a II1 factor

4. 3. Boutonnet, R. , Plusieurs aspects de rigidité des algèbres de von Neumann, PhD Thesis (2014).

5. Asymptotically Invariant Sequences and Approximate Finiteness

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